36x^2-12x+8020=0

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Solution for 36x^2-12x+8020=0 equation: 


Simplifying
36x2 + -12x + 8020 = 0

Reorder the terms:
8020 + -12x + 36x2 = 0

Solving
8020 + -12x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2005 + -3x + 9x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2005 + -3x + 9x2)' equal to zero and attempt to solve:

Simplifying
2005 + -3x + 9x2 = 0

Solving
2005 + -3x + 9x2 = 0

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
222.7777778 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-222.7777778' to each side of the equation.
222.7777778 + -0.3333333333x + -222.7777778 + x2 = 0 + -222.7777778

Reorder the terms:
222.7777778 + -222.7777778 + -0.3333333333x + x2 = 0 + -222.7777778

Combine like terms: 222.7777778 + -222.7777778 = 0.0000000
0.0000000 + -0.3333333333x + x2 = 0 + -222.7777778
-0.3333333333x + x2 = 0 + -222.7777778

Combine like terms: 0 + -222.7777778 = -222.7777778
-0.3333333333x + x2 = -222.7777778

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -222.7777778 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -222.7777778 + 0.02777777779

Combine like terms: -222.7777778 + 0.02777777779 = -222.75000002221
0.02777777779 + -0.3333333333x + x2 = -222.75000002221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -222.75000002221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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